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Finding the Third Proportional to 76,158 and 118,570

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Solution

The third proportional to 76,158 and 118,570 is: 184,601.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,158 : 118,570 = 118,570 : x
  2. Step 2: Convert to fraction form
    76,158/118,570 = 118,570/x
  3. Step 3: Cross multiply
    76,158x = 118,570 × 118,570
  4. Step 4: Simplify right side
    76,158x = 14,058,844,900
  5. Step 5: Solve for x
    x = 14,058,844,900/76,158
  6. Step 6: Final answer
    x = 184,601.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.